Linear Homeomorphic Model for Human Movement

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Abstract
The parameter values for this model are specific to the human eye movement systems; however, the form of the model is applicable to other neurological motor control systems. The muscle length-tension diagram was modeled with an ideal spring. The muscle force-velocity relationship was linearized in a manner that produced a linear model. Initial parameter estimates were based on physiological data, human when possible. Then a function minimization program was used to fine tune model parameters. These parameter values were compared to the original physiological data to ensure that they were within the range of variability of the data. The antagonist dashpot value was selected to minimize the mean squared error between human and model responses; the value produced suggested a unique simplified representation for the original physiological data. The parameter estimation routine was applied to make the model match atypical human eye movements; these simulations suggested that glissades in normals are caused by pulsewidth, not pulse height errors.

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